71150400 has 294 divisors, whose sum is σ = 266794742. Its totient is φ = 18662400.

The previous prime is 71150393. The next prime is 71150413. The reversal of 71150400 is 405117.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 70963776 = 432^2 + 8424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166370 + ... + 1166430.

Almost surely, 2^71150400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133397371).

71150400 is an abundant number, since it is smaller than the sum of its proper divisors (195644342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71150400 is an equidigital number, since it uses as much as digits as its factorization.

71150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 71150400 is about 8435.0696499792. The cubic root of 71150400 is about 414.3739532334.

Adding to 71150400 its reverse (405117), we get a palindrome (71555517).

The spelling of 71150400 in words is "seventy-one million, one hundred fifty thousand, four hundred".